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Finding the Third Proportional to 9,830,036.81 and 14,745,056.48

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Solution

The third proportional to 9,830,036.81 and 14,745,056.48 is: 22,117,586.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830,036.81 : 14,745,056.48 = 14,745,056.48 : x
  2. Step 2: Convert to fraction form
    9,830,036.81/14,745,056.48 = 14,745,056.48/x
  3. Step 3: Cross multiply
    9,830,036.81x = 14,745,056.48 × 14,745,056.48
  4. Step 4: Simplify right side
    9,830,036.81x = 217,416,690,727,409.25
  5. Step 5: Solve for x
    x = 217,416,690,727,409.25/9,830,036.81
  6. Step 6: Final answer
    x = 22,117,586.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.